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There are 3 sections in a question paper and each section contains 5 questions. A candidate has to answer a total of 5 questions, choosing at least one question from each section. Then the number of ways, in which the candidate can choose the questions, is:
  • a)
    2250
  • b)
    3000
  • c)
    1500
  • d)
    2255
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
There are 3 sections in a question paper and each section contains 5 q...

Understanding the problem:
In this question, we are given a question paper with 3 sections, each containing 5 questions. The candidate has to choose a total of 5 questions, taking at least one question from each section.

Solution:
To solve this problem, we will calculate the number of ways the candidate can choose the questions by selecting at least one question from each section.

Choosing at least one question from each section:
- To choose at least one question from each of the 3 sections, we can select one question from each section initially. This can be done in 5 x 5 x 5 ways.
- After selecting one question from each section, the candidate can choose the remaining 2 questions from any section. This can be done in 5C2 ways for each section.
- Therefore, the total number of ways the candidate can choose the questions is 5 x 5 x 5 x 5C2 x 5C2 = 2250.

Therefore, the correct answer is option 'A) 2250'.
Free Test
Community Answer
There are 3 sections in a question paper and each section contains 5 q...
Each section has 5 questions.
 Total number of selections of 5 questions
= 3 × 5C1 × 5C1 × 5C3 + 3 × 5C1 × 5C2 × 5C2
= 3 × 5 × 5 × 10 + 3 × 5 × 10 × 10
= 750 + 1500
= 2250
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There are 3 sections in a question paper and each section contains 5 questions. A candidate has to answer a total of 5 questions, choosing at least one question from each section. Then the number of ways, in which the candidate can choose the questions, is:a)2250b)3000c)1500d)2255Correct answer is option 'A'. Can you explain this answer?
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